Calculus for Social Sciences 1 (Sections 01 and 02)

Exam #1

Thursday, Sept. 27, In Class

The first exam covers Chapter 1 (excluding Sections 1.4 and 1.7) and Sections 2.1 and 2.2. It is recommended that you go over homework problems (HW#1 - 3) as well as your class notes. Many of the problems and questions we discuss in class are excellent examples of test questions. I have also listed some sample problems from the Chapter 1 and 2 Review Exercises below. The odd answers are in the back of the book while the evens are listed here. The Concept-Check at the end of each chapter (before the exercises) is also a source for good questions. The exam will be designed to take roughly one hour although you will have the full class period (plus a little extra) if necessary.

Exam Review Session: Tuesday, Sept. 25th, 7:00 - 8:30 pm in O'Neil 112.

Note: You will be given a scientific calculator for the exam which does NOT have graphing capabilities so be prepared to answer questions without your personal calculator.

Chapter 1 Review Exercises, pp. 84 - 85
Problems:   1, 2, 5, 7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 23, 24, 25, 26, 27

The answers to the evens are:
2.   (a) 3, (b) passes horizontal-line test, (c) 0.25, (d) [-1,3.5], (e) reflect the graph of g about the diagonal
8.   Domain: x > 1, Range: All real numbers.
12.   Graph the ln(x) function, shift it right by 2 units and stretch it vertically by a factor of 3.
14.   Graph the square root function, reflect it about the x-axis and shift it vertically up 2 units.
16.   This is a piecewise function which is continuous at x = 0. The left piece is a line with slope -1 and the right piece is a shifted exponential.
24.   The inverse is (1-x)/(2x-1).
26.   (a) ln 5, (b) e^2, (c) ln(ln(2))

Chapter 2 Review Exercises, pp. 176 - 178
Problems:   1a (ignore parts (vii) and (viii)), 4, 5, 7, 21a, 21c, 25

The answers to the evens are:
4.   0